Prime Factorization - Is Integer a Factor - From Value as Factors (Level 3)

This math topic focuses on advanced factoring and the determination of whether one integer is a factor of another using prime factorization. Involving skills like breaking numbers down to their prime factors and observing these factors' compatibility, students address questions that ascertain if a given number is a factor of another, based on their prime factor representations. This includes assessing compatibility and powers of prime constituents of the integers in question.

Is Integer a Factor - From Value as Factors

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Is 1225 a factor of 2450

1225=n2r22450=25272is 1225 a factor of2450?\begin{align*}1225 &= n^2 \cdot r^2\\\\[-0.5em]2450 &= 2 \cdot 5^2 \cdot 7^2\end{align*}\\\\ \textsf{is }1225\textsf{ a factor of}\\2450?